MDM is fine. The instructor might not and shouldn't really tell you either way...its a liability issue.
You can learn car control on the track but I think it will take most a long time. It is much faster to do it off the track in a car control clinic or auto-x. Speeds are lower and the area off "track" is a known quantity...it should be pavement and cones. Vrs on track...who knows. Drainage ditches are pretty common.
If you want to learn car control REALLY fast...go drifting. I honestly think this is the best way to do it. You learn how to steer the car with the rear tires and throttle.
When the back end loses grip and starts to come around, I think most make the mistake of trying to still control the car with the steering wheel by "correcting" when you really need to use the throttle to regain control. All you do with the steering wheel is keep the front wheels pointed down track so when the back end stop rotating you can collect the rear end and get things back in alignment. That's what drifting will quickly teach you.
2015 F34 328iX GT Glacier Silver
2011 E90 M3 Monte Carlo Blue
2004 E46 M3 Imola Red